Simplify 10/16 to the lowest terms and find an equivalent fraction that has a denominator of 32.

Answers

Answer 1

Answer:

5/8,  20/32

Step-by-step explanation:

Divide 10/16 by 2 as that is the GCF (greatest common factor) = 5/8

To find an equivalent fraction with a denominator of 32 multiply 10/16 by 2 = 20/32

Answer 2

Answer:

5/8; 20/32

Step-by-step explanation:

10/16 = (5 · 2)/(8 · 2) = 5/8 lowest term

 equivalent fraction  5/8 = ?/32  means 32÷ 8 = 4 × 5 =20

5/8 = 20/32

If using 10/16 = ?/32     means 32 ÷ 16 = 2 × 10 = 20

Again 10/16 = 20/32


Related Questions

Grandpa has a barrel of apples. 2/5 of the apple are rotten. 24 of the apples are good. How many apples are there in total?

Answers

Answer:

40 Apples

Step-by-step explanation:

3/5 of the apples are good so divide 24 by 3 which is 8, then multiply 8 by 2 which is 16, add 24 and 16 together to get 40. Let me know if I'm wrong.

If there were 310 million people in the United States, what was the daily consumption rate in barrels per person in the United States? This is also called "barrels per capita." Round to the nearest hundredth of a barrel.

Answers

The daily consumption rate in the United States will be 10 barrels per person.

Your question is incomplete as you didn't provide the total barrels, therefore, an overview of the answer will be given. In their case, let's assume that the total barrels is given as 3.1 billion.

Therefore, the barrels per person will be:

= Total barrels / Population

= 3.1 billion / 310 million

= 10 barrels per person.

In conclusion, the correct option is 10 barrels per person.

Read related link on:

https://brainly.com/question/25261899

step by step explanation, please

Answers

Answer:

[tex]a=\displaystyle \frac{k}{w+v}[/tex]

Step-by-step explanation:

Hi there!

[tex]\displaystyle \frac{k}{a} =w+v[/tex]

Multiply both sides by a:

[tex]a*\displaystyle \frac{k}{a} =a(w+v)\\\\k=a(w+v)[/tex]

Divide both sides by (w+v):

[tex]\displaystyle \frac{k}{(w+v)} =\displaystyle \frac{a(w+v)}{(w+v)}\\\\\displaystyle \frac{k}{w+v} =a[/tex]

I hope this helps!

There are 120 apples, 1/16 have sprinkles. How many have sprinkles?

Answers

Answer:

7.5

Step-by-step explanation:

because 7.5 x 16 = 120

can anyone heelp me pls

Answers

Answer: lotion- semisolid

capsule- solid

suspension- liquid

Step-by-step explanation:

-3/5 is greater than or less than -4/5

Answers

-3/5  is greater than -4/5

Step-by-step explanation:

If they were just regular positive numbers then yes, it would be less than -4/5. However since they are negative for this I will switch them to decimals, . -.60 is more an -.80 because it is basically like a dept you owe.

Suppose that an airline overbooks seats on their flights. In particular, it sells 300 tickets for a flight when there are only 270 seats available. On average, we expect 15% of those with tickets to not show up. What is the probability that we will have enough seats for everyone who shows up

Answers

Using the normal approximation to the binomial, it is found that there is a 0.994 = 99.4% probability that we will have enough seats for everyone who shows up.

In a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

It measures how many standard deviations the measure is from the mean.  After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X. The binomial distribution is the probability of x successes on n trials, with p probability of a success on each trial. It can be approximated to the normal distribution with [tex]\mu = np, \sigma = \sqrt{np(1-p)}[/tex].

In this problem:

15% do not show up, so 100 - 15 = 85% show up, which means that [tex]p = 0.85[/tex].300 tickets are sold, hence [tex]n = 300[/tex].

The mean and the standard deviation are given by:

[tex]\mu = np = 300(0.85) = 255[/tex]

[tex]\sigma = \sqrt{np(1-p)} = \sqrt{300(0.85)(0.15)} = 6.185[/tex]

The probability that we will have enough seats for everyone who shows up is the probability of at most 270 people showing up, which, using continuity correction, is [tex]P(X \leq 270 + 0.5) = P(X \leq 270.5)[/tex], which is the p-value of Z when X = 270.5.

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{270.5 - 255}{6.185}[/tex]

[tex]Z = 2.51[/tex]

[tex]Z = 2.51[/tex] has a p-value of 0.994.

0.994 = 99.4% probability that we will have enough seats for everyone who shows up.

A similar problem is given at https://brainly.com/question/24261244

Write the equation in point slope form

Answers

Answer: X=4/2x+3

Step-by-step explanation:

I just know

The equation in point slope form is
y-4 = (1/2)(x -2).

The equation for point slope form is
y - y1 = m(x - x1)

The point on the graph is given as (2,4) so you can substitute that into the equation as

y - 4 = m(x - 2)

M represents the slope.

By looking at the graph, you can see that the y-intercept is (0,3). The slope is change in y / change in x or the rise/run. From (0,3) to (2,4).

Change in y = 4 - 3 = 1
Change in x = 2 - 0 = 2

Therefore the slope = 1/2 = m.

Substitute m in for the slope and the final equation in point slope form would be y-4 = (1/2)(x -2).

8) What is the area of a polygon with vertices
A(-2,4), B(4,4), C(7,0) and D(-5,0)?
(A) 48
(B) 42.5
(C) 36
(D) 24

Answers

Answer:

[C] 36.

Step-by-step explanation:

the given polygon is trapezoid, where its bases are AB and CD.

The required area can be calculated using the formula: A=0.5(AB+CD)*h, where h - height of the ABCD.

The lengths are: AB=6; CD=12; h=4, then the required area:

A=0.5(6+12)*4=36

Use the Quadratic Formula to solve for x and then determine whether your solution is real or
complex.
y = x2 - 4x + 9
**Remember y = 0**
O Real
o Complex

Answers

Answer:

[tex] {x}^{2} - 4x + 9 = 0 \\ x=\frac{-b\pm\sqrt{b^2-4ac}}{2a} \\ x=\frac{-( - 4)\pm\sqrt{( - 4)^2-4(1)(9)}}{2(1)} \\x=\frac{ 4\pm\sqrt{ 16-36}}{2} \\ x=\frac{ 4\pm\sqrt{ - 20}}{2} \\ x=\frac{ 4\pm2i\sqrt{ 5}}{2} \\ x = 2\pm \: i\sqrt{ 5} \\ D = {b^2-4ac} \\D = { 16-36} \\ = - 20 < 0 \rightarrow \: x \in \: \mathbb{C} \: \\ x \: is \: complex [/tex]

What does it mean to “solve” the following equation for y.

Answers

Solve for 'y' means find the equation to get the value of y.

Last year Kaitlin opened an investment account with $7600. At the end of the year, the amount in the account had increased by 6.5%. How much is this increase in dollars? How much money was in her account at the end of the year

Answers

The increase was: 494

Which of the following algebraic expressions will translate “the sum of eight and twice w”?

A: 8 + w
B: 2(8) + w
C: 8 = 2w
D: None of these choices are correct.

Answers

d

8+2x is the correct answer

None of them have a great day

You buy tomatoes sauce for 0.37per ounce. One portion of potatoes gnocchi requires 3.5 ounces of tomatoe sauce. How much does the sauce for one portion cost

Answers

Answer:

it would cost $0.74 = 74 cents

Step-by-step explanation:

The cost of one ounce of tomato = $0.37

1 portion of potato gnocchi requires 2 ounces of tomato sauce.

To find the cost of one portion of the potato gnocchi, we have to simply find the cost of 2 ounces of tomato sauce.

That is:

Cost = 2 * 0.37 = $0.74

Hence, one portion of potato gnocchi costs $0.74

Since $1 = 100 cents, the cost in cents will be:

0.74 * 100 = 74 cents

9
A car mechanic charges an initial fee to inspect a car plus an hourly rate to repair the car if no new parts
are needed. The total charges for the inspection and repair of cars with no new parts needed are shown in
the table below
The Mechanic's Bill
Number of
Total
Hours
Worked
Charges
$25
$60
2
$95
$130
4
$165
Which equation best represents the linear relationships between y, the total charges in dollars, and x, the
number of hours the mechanic worked?
0
1
3
A y = x + 35
B y = x + 60
cy - 35x + 25
Dy = 35x +60

Answers

Answer:

C) is correct answer

Step-by-step explanation:

In pic

(Hope this helps can I pls have brainlist (crown)☺️)

The equation y = 35x +25 represents the linear relationship between y, the total charges in dollars, and x, the number of hours the mechanic worked.

What is the equation?

The equation is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are equal.

The given table shows the relationship between the total charges and the number of hours worked by the mechanic.

Number of hours worked, x Total charges, y

1               60

2               95

3               130

4               165

Let the equation for this relationship:

y = mx + c  ....(i)

From the table, we can see that the mechanic charges an initial fee of $60, and then an additional $35 for each hour worked.

Here, m = {(95-60)/(2-1)} = 25

60 = 25(1) + c

c = 60 - 25 = 35

So, the equation is y = 25x + 35

Therefore, the equation y = 35x +25 represents the linear relationship.

Learn more about the equation here:

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#SPJ2

or the 7:30 show time, 140 movie tickets were sold. Receipts from the $13 adult tickets and the $10 senior tickets totaled $1,664. How many adult tickets and how many senior tickets were sold?

Answers

Answer:

adult tickets x=88  and senior tickets y=52

Step-by-step explanation:We can take adult ticket as x and senior ticket as y.

Now we will form two equations

x + y = 140

13x + 10y = 1664

This system of equations we will solve using Gaussian algorithm (gradual elimination of the variables)  

We will multiply first equation with (-10) and get

-10x-10y=-1400 Than we will add to second equation and get

3x=264 => x=264/3=88 => x=88

Now we will replace x in the first equation before multiplying and get

88+ =140 => y= 140-88= 52 => y=52

adult tickets x=88  and senior tickets y=52

Good luck!!!

Jenny's test grades are 88, 95, 97, and 100.
What is her average?

Answers

Answer:

95

Step-by-step explanation:

For average you just add all the numbers together and divide by how many numbers there are.

88+95+97+100=380

380÷4=95

The average of the given data is 95.

What is an average?

Average is defined as the ratio of the sum of the number of the data sets to the total number of the data. The average actually determines the middle value of the data.

Given that Jenny's test grades are 88, 95, 97, and 100. The average of the numbers will be calculated by adding all the numbers and dividing it by the total count of the numbers.

For average you just add all the numbers together and divide by how many numbers there are.

Average = ( 88+95+97+100 ) / 4

Average = 380 / 4

Average = 95

Therefore, the average of the given data is 95.

To know more about an average follow

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how can i estimate 75.78 - 49.381 by first rounding each number to the nearest whole number

Answers

First you look at the tenths place of each number.
If the number is 0-4 then the ones place stays the same however if the number is 5-9 then the ones place goes up one
So you nearest whole numbers are 76-49

please answer the question above​

Answers

If a polygon has 20 sides, then the sum of all of its interior angles is 3240°.

Cross multiply to determine whether the fractions are equivalent.

?
4/8=2/4

Answers

Answer:

16 = 16

Step-by-step explanation:

Cross multiplying is when you multiply the numerator and denominator of two fractions.

So, it would be 4 × 4 = 8 × 2 or 16 = 16. This is essentially proving they are equal to one another.

Hope this helps.

HELP LAST ATTEMPT!! marking as brainliest!

Answers

Answer:

i m not sure... whether it's correct or not......

bt I tried my best

Your fundraising group earns 25c for each lemonade and
50c for each tạco sold. One hundred tacos are sold. Your total profit is $100.
How many levonades are sold? Write an equation that models this situation.
Solve the equation using mental math.

Answers

Answer:

The answer is 100$ worth of lemonades

Step-by-step explanation:

Because 200$ are made with the tacos and lemonade so if the profit is 100 then you divide 100 by 2, so 50+50= 100.

4
-3+x=17
5
11= -9 - x
6
14- X = 4
7
x - 30 = -44
8
16 = 27+ x
9
-75 = x - 50
10
15+ x = -15
11
-9 + x = -34
12
-27=-5-x
13
6+ x = 20
14
-8=x+7
15
13=3- X
ton nations

Answers

4. -17/3

5. -20

6. 10

7. -14

8. -11

9. -25

10. -30

11. -25

12. 22

13. 14

14. -15

15. -10

Which best describes the association between variables x and y

Answers

there is no association

Reniel is 13 years old. He is two years younger than his brother, Gelo. If Gelo is five times older than their sister, how old is their sister?​

Answers

sister is 3

13+2=15
15/5=3

Plz help I need help

Answers

Answer:

What do you need help with mate?

Step-by-step explanation:

you don't have a question posted.

-8+r>-8
please show work

Answers

Hello there!

-8+r>-8

Move all the numbers to the right:

r>-8+8

r>0

Hope it helps!

~Just a joyful teen

[tex]GraceRosalia[/tex]

step 1: find the factors of ac that add up to b. ac=6(−10)=−60 b=−11 the factors of −60 that add up to −11 are and . step 2: rewrite the trinomial with the x-term expanded, using the two factors from step 1. 6x2−11x−10 (6x2− )+( −10) step 3: group the first two and second two terms together, find the gcf and factor again. (2x−5)+ (2x−5

Answers

Answer:

For a polynomial of the form ax2+bx+c, rewrite the middle term as a sum of two terms whose product is a⋅c=6⋅−10=−60 and whose sum is b=−11

.

6x2+4x−15x−10

Factor out the greatest common factor from each group.

2x(3x+2)−5(3x+2)

Factor the polynomial by factoring out the greatest common factor, 3x+2

.

(3x+2)(2x−5)

Figure ABCD is transformed to figure A prime B prime C prime D prime, as shown: A coordinate grid is shown from negative 5 to 0 to 5 on both x -and y-axes. A polygon ABCD has A at ordered pair 1, 3, B at ordered pair 3, 4, C at ordered pair 2, 1, D at ordered pair 1, 1. A polygon A prime B prime C prime D prime has A prime at ordered pair negative 3, 3, B prime at ordered pair negative 5, 4, C prime at ordered pair negative 4, 1, D prime at ordered pair negative 3, 1. Which of the following sequences of transformations is used to obtain figure A prime B prime C prime D prime from figure ABCD? (1 point) Reflection about the x-axis followed by a translation to the right by 2 units Reflection about the y-axis followed by a translation to the left by 2 units Counterclockwise rotation by 90 degrees about the origin followed by a translation to the right by 2 units Counterclockwise rotation by 90 degrees about the origin followed by a translation to the left by 2 units

Answers

Answer:

i need this answer too

Answer:

The appropriate choice is the 2nd one ...

... Reflection over the y-axis followed by a translation down by 5 units.

Step-by-step explanation:

The transformed figure has the opposite orientation (A'B'C'D' is counterclockwise, whereas ABCD is clockwise), so a reflection is involved. The sgment C'D' is still at the bottom, as is CD, so the reflection must be across a vertical line.

In the attached, the light-blue figure A''B''C''D'' shows the reflection of ABCD across the y-axis. It is easy to see that figure A'B'C'D' is a translation of that 5 units downward.

The appropriate choice is the 2nd one ...

... Reflection over the y-axis followed by a translation down by 5 units.

Help with question 13 only please.

Answers

I think it is B

It makes the most sense to me to do that

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